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180357044 = 22721922549
BaseRepresentation
bin10101100000000…
…00011110110100
3110120101002100112
422300000132310
5332132411134
625521402152
74320003200
oct1260003664
9416332315
10180357044
1192896a0a
1250499358
132b49a55a
1419d4bb00
1510c791ce
hexac007b4

180357044 has 54 divisors (see below), whose sum is σ = 387648450. Its totient is φ = 73198944.

The previous prime is 180357031. The next prime is 180357049. The reversal of 180357044 is 440753081.

It can be written as a sum of positive squares in only one way, i.e., 176890000 + 3467044 = 13300^2 + 1862^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 180357044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180357049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69482 + ... + 72030.

It is an arithmetic number, because the mean of its divisors is an integer number (7178675).

Almost surely, 2180357044 is an apocalyptic number.

180357044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180357044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193824225).

180357044 is an abundant number, since it is smaller than the sum of its proper divisors (207291406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180357044 is a wasteful number, since it uses less digits than its factorization.

180357044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 180357044 is about 13429.7075172917. The cubic root of 180357044 is about 564.9946943924.

The spelling of 180357044 in words is "one hundred eighty million, three hundred fifty-seven thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 2549 3724 5054 5098 10108 10196 17689 17843 35378 35686 48431 70756 71372 96862 124901 193724 249802 339017 499604 678034 920189 1356068 1840378 2373119 3680756 4746238 6441323 9492476 12882646 25765292 45089261 90178522 180357044